Step 1: Printing File

Attachments

Step 2: Finished Product in Different Colors

This is not my product, but an example

Step 3: A Little History From Wikipedia

The Soma cube is a solid dissection puzzle invented by Piet Hein in 1933 during a lecture on quantum mechanics conducted by Werner Heisenberg. Its name is alleged to be derived from the fictitious drug soma consumed as a pastime by the establishment in Aldous Huxley's dystopic novel Brave New World. Seven pieces made out of unit cubes must be assembled into a 3×3×3 cube. The pieces can also be used to make a variety of other 3D shapes.

The pieces of the Soma cube consist of all possible combinations of three or four unit cubes, joined at their faces, such that at least one inside corner is formed. There is one combination of three cubes that satisfies this condition, and six combinations of four cubes that satisfy this condition, of which two are mirror images of each other (see Chirality). Thus, 3 + (6 × 4) is 27, which is exactly the number of cells in a 3×3×3 cube.

The Soma cube was analyzed in detail by John Horton Conway on September 1958 in Mathematical Games column in Scientific American, and the book Winning Ways for your Mathematical Plays also contains a detailed analysis of the Soma cube problem.

There are 240 distinct solutions of the Soma cube puzzle, excluding rotations and reflections: these are easily generated by a simple recursive backtracking search computer program similar to that used for the eight queens puzzle. Current world record for the fastest time to solve a soma cube is 2.93 seconds and was set by Krishnam Raju Gadiraju, India.

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I was going to do this puzzle. One thing I was going to try was to put all the cubes in a sack with sandpaper strips and run it in the dryer to round all the corners. I would also put some tennis balls in with the sack. You also might want to include this document in your download section. It is the original instruction sheet. https://www.fam-bundgaard.dk/SOMA/NEWS/N160817_Parker_V3_1500x700_Jan_de_Groot.pdf